An Application of the Fractional-Order Modeling to Study Drug Diffusion in Pharmacokinetic...
0Day 2 | 5:00 PM–5:30 PM
"An Application of the Fractional-Order Modeling to Study Drug Diffusion in Pharmacokinetic Compartmental Models"
Presented by:
Tahmineh Azizi, Washington University, St. Louis MO USA
Abstract: Pharmacokinetic compartmental models are crucial for analyzing and understanding the rates of chemical or biochemical reactions of drugs and their distribution throughout the body. Typically, these models are represented as systems of differential equations. In this paper, we explore fractional calculus (FC) and its applications in biomedicine. We present three distinct integer-order pharmacokinetic models with two and three compartments and provide their numerical solutions to illustrate the absorption, distribution, metabolism, and excretion (ADME) of drugs or nanoparticles (NPs) in various compartments. To derive the fractional-order versions of these pharmacokinetic models, we first apply the nonstandard finite difference (NSFD) method to the two- and three-compartment models, as NSFD often yields more accurate results compared to traditional standard finite difference (SFD) methods. We then discretize these pharmacokinetic models using the Grünwald-Letnikov discretization technique. Various numerical methods are employed to solve the fractional-order two- and three-compartment pharmacokinetic models for oral drug administration, demonstrating their effectiveness in capturing the dynamics of drug distribution and metabolism.